Finding the Fourth Proportional to 10,078.84, 13,907.80 and 5,602.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.84 : 13,907.80 = 5,602.15 : x
2. Step 2: Convert to fraction form
   10,078.84/13,907.80 = 5,602.15/x
3. Step 3: Cross multiply
   10,078.84x = 13,907.80 × 5,602.15
4. Step 4: Simplify right side
   10,078.84x = 77,913,606.16
5. Step 5: Solve for x
   x = 77,913,606.16/10,078.84
6. Step 6: Final answer
   x = 7,730.41